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Simplifying 8(8 + -8k) + -2(7k + 8) = 48 (8 * 8 + -8k * 8) + -2(7k + 8) = 48 (64 + -64k) + -2(7k + 8) = 48 Reorder the terms: 64 + -64k + -2(8 + 7k) = 48 64 + -64k + (8 * -2 + 7k * -2) = 48 64 + -64k + (-16 + -14k) = 48 Reorder the terms: 64 + -16 + -64k + -14k = 48 Combine like terms: 64 + -16 = 48 48 + -64k + -14k = 48 Combine like terms: -64k + -14k = -78k 48 + -78k = 48 Add '-48' to each side of the equation. 48 + -48 + -78k = 48 + -48 Combine like terms: 48 + -48 = 0 0 + -78k = 48 + -48 -78k = 48 + -48 Combine like terms: 48 + -48 = 0 -78k = 0 Solving -78k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '-78'. k = 0 Simplifying k = 0
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